R3 and R5 asked, respectively, (1) whether we are claiming that uniform quantization is strictly better than the other

We thank all the reviewers for their thoughtful feedback. We will clarify these points. R2 and R3 had concerns about the amount of content we deferred to the appendix. In Appendix B.4, we discuss a variant of the embedding reconstruction error applicable to R2 asked about our question answering results in Section 2.3. We use the DrQA model [5], as described in Section 4. R3: R3 asked about the intuition for the proof of Theorem 2. We leverage the Davis-Kahan sin(Θ) theorem, which R3 proposed an idea to use non-uniform quantization to further improve the performance of quantized embeddings.